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Finding the Fourth Proportional to 306.12, 419.80 and 293.64

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Solution

The fourth proportional to 306.12, 419.80 and 293.64 is: 402.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.12 : 419.80 = 293.64 : x
  2. Step 2: Convert to fraction form
    306.12/419.80 = 293.64/x
  3. Step 3: Cross multiply
    306.12x = 419.80 × 293.64
  4. Step 4: Simplify right side
    306.12x = 123,270.07
  5. Step 5: Solve for x
    x = 123,270.07/306.12
  6. Step 6: Final answer
    x = 402.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.